A017579 a(n) = (12n+4)^11.

4194304, 17592186044416, 8293509467471872, 419430400000000000, 7516865509350965248, 73786976294838206464, 488595558857835544576, 2450808588882738675712, 10000000000000000000000, 34785499933455142617088, 106570876280498368282624, 294393347626373780340736

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Crossrefs

Cf. A008455, A013669, A016787, A017569.

Programs

Mathematica

(12*Range[0,20]+4)^11 (* Harvey P. Dale, Jan 07 2015 *)

Formula

From Amiram Eldar, Jul 14 2024: (Start)

a(n) = A008455(A017569(n)) = A017569(n)^11.

a(n) = 4194304 * A016787(n).

Sum_{n>=0} 1/a(n) = 1847*Pi^11/(2633035913625600*sqrt(3)) + 88573*zeta(11)/743008370688. (End)

Extensions

More terms from Amiram Eldar, Jul 14 2024